59.09 is what percent of 107.89 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 107.89 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 107.89, so we can write it down as 100%=107.89.
4. We know, that x% equals 59.09 of the output value, so we can write it down as x%=59.09.
5. Now we have two simple equations:
1) 100%=107.89
2) x%=59.09
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=107.89/59.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.09 is what percent of 107.89

100%/x%=107.89/59.09
(100/x)*x=(107.89/59.09)*x       - we multiply both sides of the equation by x
100=1.8258588593671*x       - we divide both sides of the equation by (1.8258588593671) to get x
100/1.8258588593671=x
54.768745944944=x
x=54.768745944944

now we have:
59.09 is 54.768745944944% of 107.89